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Density, defined

With these eharge densities defined, it is possible to define eorresponding potentials. The Coulomb or Hartree potential, V, is defined by... [Pg.91]

The quantity introduced above is the spectral density defined as the energy per unit volume per unit frequency range and is... [Pg.411]

The spin density defines the excess probability of finding spin-up over spin-down electrons at a point in space and is zero everywhere for closed-shell RHF situations. The spin density at the position of a nucleus is a prime determinant of electron spin resonance (ESR) spectra. [Pg.243]

Mote quantitative relationships of the CSD obtained from batch operations can be developed through formulation of a population balance. Using a population density defined in terms of the total crystallizer volume rather than on a specific basis (n = nU), the general population balance given by equation 42 can be modified in recognition of there being no feed or product streams ... [Pg.355]

In these equations, is the molar volume and 5 is the solubiUty parameter of the pure Hquid k. The solubiUty parameter is the square root of an energy density, defined as... [Pg.237]

The percolation parameters (p — Pc) associated with the disentanglement process are derived as follows p is the normalized entanglement density defined as... [Pg.388]

Fig. 10.2. Standard curve for cell density define based on growth of Saccharomyces cerevisiae. Fig. 10.2. Standard curve for cell density define based on growth of Saccharomyces cerevisiae.
In the homogeneous flow model, pa is the homogenous mixture density defined... [Pg.228]

This relationship was derived by Poincare and defines the range of frequencies, where the earth or any planet is not broken. The remarkable feature of this inequality is the fact that it is independent of the dimensions of the planet, and only the density defines the maximal permissible frequency. Introducing the period T, we represent Equation (2.102) as... [Pg.83]

The study of electron density distributions resulting from molecular interactions in gas-phase complexes or in molecular crystals, is known [1,2] to facilitate our understanding of the physical mechanisms underlying such interactions. Indeed, the action of these mechanisms is reflected in the interaction density, defined as the difference between the electron density distribution (EDD) of the molecular complex or crystal and that obtained by superimposing the EDDs of free molecules. [Pg.104]

Quantum mechanics allows the determination of the probability of finding an electron in an infinitesimal volume surrounding any particular point in space (x,j,z) that is, the probability density at this point. Since we can assign a probability density to any point in space, the probability density defines a scalar field, which is known as the probability density distribution. When the probability density distribution is multiplied by the total number of electrons in the molecule,... [Pg.269]

G Relative polymer adsorption density defined by Equation 8 i An integer—the number of bound segments on a given molecule K Primary adsorption constant... [Pg.36]

The service density defined above and illustrated in Figure 6.6 is a real variable that describes the distribution of the corresponding random variable. The density as a function is not continuous because it has a point mass at s = 35, the available inventory in the example, because the service is always exactly s if the demand is at least s. As a result, the service level distribution jumps to the value 100% at 35 because with 100% probability the service is 35 or less. [Pg.121]

If you are certain that NO self-reactive substances are present, then proceed to the next question (Question 12). If you are uncertain as to whether a material is self-reactive, a chemist or other expert should be consulted. Annex E to NFPA 704 (2001) gives a method for calculating an "instantaneous power density," defined as the product of the enthalpy... [Pg.68]

One of the main reasons is the low power density of fuel cells. Power density, defined as power produced per unit weight or unit volume of the power source, is one of the most important factors for a power source for transportation as well as energy density, defined as energy produced per unit weight or volume. As for fuel cells, unlike batteries, energy density would not be such a serious problem as power density because energy density can be increased when more fuel is loaded. [Pg.27]

Mass flux of the electrically charged component Ji is connected with charge transport and so with the partial current density /, defined as... [Pg.27]

The release of pressurized gas to the atmosphere and its dispersion can be described in three stages jet mixing, momentum effects of wind or air currents, and natural diffusion. While the initial properties of the gas at the time of release (e.g. temperature, pressure, density) define the first stage, they have little influence on the second and third stage. The energy associated with the release of a pressurized gas creates a "jet mixing" effect that causes the gas to be diluted in air. Gas releases can rapidly form explosive clouds depending on the rate of release. [Pg.246]

Intrinsic surface charge density, defined by the number of Coulombs per square meter bound by surface functional groups, either because of isomorphic substitutions, or because of dissociation/protonation reactions. [Pg.18]

Proton surface charge density, defined as the difference between the number of moles of complexed proton charges and of complexed hydroxyl charges per unit mass of colloids. [Pg.18]


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Apparent liquid density: defined

Density model derivative, defined

Density, 234 defined, pressure below

Electron density defined

Limiting-current density, defined

Phase-space centroid density, defined

Probability density defining wavefunction

Radial density defined

Reduced density operator defined

Spectral density defined

Strain energy density defined

Surface charge density, equation defining

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